runcitruncated hexacross
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | potag |
| Name |
prismatotruncated hexacontitetrapeton, runcitruncated hexacross |
| Circumradius | sqrt(15/2) = 2.738613 |
| Coordinates | (3/sqrt(2), sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign |
| Face vector | 2880, 15840, 24960, 15600, 3896, 296 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3o3x3o4o . . . . . . | 2880 | 1 2 8 | 2 8 1 8 4 8 | 1 8 4 8 4 8 4 2 | 4 8 4 2 4 2 1 | 4 2 1 1 ------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x . . . . . | 2 | 1440 * * | 2 8 0 0 0 0 | 1 8 4 8 0 0 0 0 | 4 8 4 2 0 0 0 | 4 2 1 0 . x . . . . | 2 | * 2880 * | 1 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1 . . . x . . | 2 | * * 11520 | 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x . . . . | 6 | 3 3 0 | 960 * * * * * | 1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0 x . . x . . | 4 | 2 0 2 | * 5760 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x3o . . . | 3 | 0 3 0 | * * 960 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1 . x . x . . | 4 | 0 2 2 | * * * 5760 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . o3x . . | 3 | 0 0 3 | * * * * 3840 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x3o . | 3 | 0 0 3 | * * * * * 7680 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x3o . . . ♦ 12 | 6 12 0 | 4 0 4 0 0 0 | 240 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0 x3x . x . . ♦ 12 | 6 6 6 | 2 3 0 3 0 0 | * 1920 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . o3x . . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 1920 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 3840 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3o3x . . ♦ 12 | 0 12 12 | 0 0 4 6 4 0 | * * * * 960 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 0 3 0 2 | * * * * * 3840 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . o3x3o . ♦ 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 1920 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o4o ♦ 6 | 0 0 12 | 0 0 0 0 0 8 | * * * * * * * 960 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x3o3x . . ♦ 60 | 30 60 60 | 20 30 20 30 20 0 | 5 10 10 0 5 0 0 0 | 192 * * * * * * | 2 0 0 0 x3x . x3o . ♦ 18 | 9 9 18 | 3 9 0 9 0 6 | 0 3 0 3 0 3 0 0 | * 1280 * * * * * | 1 1 0 0 x . o3x3o . ♦ 12 | 6 0 24 | 0 12 0 0 8 8 | 0 0 4 4 0 0 2 0 | * * 960 * * * * | 1 0 1 0 x . . x3o4o ♦ 12 | 6 0 24 | 0 12 0 0 0 16 | 0 0 0 8 0 0 0 2 | * * * 480 * * * | 0 1 1 0 . x3o3x3o . ♦ 30 | 0 30 60 | 0 0 10 30 20 20 | 0 0 0 0 5 10 5 0 | * * * * 384 * * | 1 0 0 1 . x . x3o4o ♦ 12 | 0 6 24 | 0 0 0 12 0 16 | 0 0 0 0 0 8 0 2 | * * * * * 480 * | 0 1 0 1 . . o3x3o4o ♦ 24 | 0 0 96 | 0 0 0 0 32 64 | 0 0 0 0 0 0 16 8 | * * * * * * 120 | 0 0 1 1 ------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x3o3x3o . ♦ 180 | 90 180 360 | 60 180 60 180 120 120 | 15 60 60 60 30 60 30 0 | 6 20 15 0 6 0 0 | 64 * * * x3x . x3o4o ♦ 36 | 18 18 72 | 6 36 0 36 0 48 | 0 12 0 24 0 24 0 6 | 0 8 0 3 0 3 0 | * 160 * * x . o3x3o4o ♦ 48 | 24 0 192 | 0 96 0 0 64 128 | 0 0 32 64 0 0 32 16 | 0 0 16 8 0 0 2 | * * 60 * . x3o3x3o4o ♦ 240 | 0 240 960 | 0 0 80 480 320 640 | 0 0 0 0 80 320 160 80 | 0 0 0 0 32 40 10 | * * * 12
x3x3o3x3o4/3o . . . . . . | 2880 | 1 2 8 | 2 8 1 8 4 8 | 1 8 4 8 4 8 4 2 | 4 8 4 2 4 2 1 | 4 2 1 1 --------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x . . . . . | 2 | 1440 * * | 2 8 0 0 0 0 | 1 8 4 8 0 0 0 0 | 4 8 4 2 0 0 0 | 4 2 1 0 . x . . . . | 2 | * 2880 * | 1 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1 . . . x . . | 2 | * * 11520 | 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 --------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x . . . . | 6 | 3 3 0 | 960 * * * * * | 1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0 x . . x . . | 4 | 2 0 2 | * 5760 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x3o . . . | 3 | 0 3 0 | * * 960 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1 . x . x . . | 4 | 0 2 2 | * * * 5760 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . o3x . . | 3 | 0 0 3 | * * * * 3840 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x3o . | 3 | 0 0 3 | * * * * * 7680 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 --------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x3o . . . ♦ 12 | 6 12 0 | 4 0 4 0 0 0 | 240 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0 x3x . x . . ♦ 12 | 6 6 6 | 2 3 0 3 0 0 | * 1920 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . o3x . . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 1920 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 3840 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3o3x . . ♦ 12 | 0 12 12 | 0 0 4 6 4 0 | * * * * 960 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 0 3 0 2 | * * * * * 3840 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . o3x3o . ♦ 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 1920 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o4/3o ♦ 6 | 0 0 12 | 0 0 0 0 0 8 | * * * * * * * 960 | 0 0 0 1 0 1 1 | 0 1 1 1 --------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x3o3x . . ♦ 60 | 30 60 60 | 20 30 20 30 20 0 | 5 10 10 0 5 0 0 0 | 192 * * * * * * | 2 0 0 0 x3x . x3o . ♦ 18 | 9 9 18 | 3 9 0 9 0 6 | 0 3 0 3 0 3 0 0 | * 1280 * * * * * | 1 1 0 0 x . o3x3o . ♦ 12 | 6 0 24 | 0 12 0 0 8 8 | 0 0 4 4 0 0 2 0 | * * 960 * * * * | 1 0 1 0 x . . x3o4/3o ♦ 12 | 6 0 24 | 0 12 0 0 0 16 | 0 0 0 8 0 0 0 2 | * * * 480 * * * | 0 1 1 0 . x3o3x3o . ♦ 30 | 0 30 60 | 0 0 10 30 20 20 | 0 0 0 0 5 10 5 0 | * * * * 384 * * | 1 0 0 1 . x . x3o4/3o ♦ 12 | 0 6 24 | 0 0 0 12 0 16 | 0 0 0 0 0 8 0 2 | * * * * * 480 * | 0 1 0 1 . . o3x3o4/3o ♦ 24 | 0 0 96 | 0 0 0 0 32 64 | 0 0 0 0 0 0 16 8 | * * * * * * 120 | 0 0 1 1 --------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+------------- x3x3o3x3o . ♦ 180 | 90 180 360 | 60 180 60 180 120 120 | 15 60 60 60 30 60 30 0 | 6 20 15 0 6 0 0 | 64 * * * x3x . x3o4/3o ♦ 36 | 18 18 72 | 6 36 0 36 0 48 | 0 12 0 24 0 24 0 6 | 0 8 0 3 0 3 0 | * 160 * * x . o3x3o4/3o ♦ 48 | 24 0 192 | 0 96 0 0 64 128 | 0 0 32 64 0 0 32 16 | 0 0 16 8 0 0 2 | * * 60 * . x3o3x3o4/3o ♦ 240 | 0 240 960 | 0 0 80 480 320 640 | 0 0 0 0 80 320 160 80 | 0 0 0 0 32 40 10 | * * * 12
o3x3o *b3o3x3x . . . . . . | 2880 | 8 2 1 | 4 4 4 8 8 1 2 | 2 2 4 4 2 4 4 4 4 8 1 | 1 2 2 2 2 4 2 2 4 4 | 1 1 2 2 2 ---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+---------------- . x . . . . | 2 | 11520 * * | 1 1 1 1 1 0 0 | 1 1 1 1 1 1 1 1 1 1 0 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 . . . . x . | 2 | * 2880 * | 0 0 0 4 0 1 1 | 0 0 2 0 0 2 0 4 0 4 1 | 0 1 0 2 0 2 2 0 2 4 | 1 0 1 2 2 . . . . . x | 2 | * * 1440 | 0 0 0 0 8 0 2 | 0 0 0 4 0 0 4 0 4 8 1 | 0 0 2 0 2 4 0 2 4 4 | 0 1 2 2 2 ---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x . . . . | 3 | 3 0 0 | 3840 * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x3o . . . | 3 | 3 0 0 | * 3840 * * * * * | 1 0 0 0 1 1 1 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . x . *b3o . . | 3 | 3 0 0 | * * 3840 * * * * | 0 1 0 0 1 0 0 1 1 0 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . x . . x . | 4 | 2 2 0 | * * * 5760 * * * | 0 0 1 0 0 1 0 1 0 1 0 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . x . . . x | 4 | 2 0 2 | * * * * 5760 * * | 0 0 0 1 0 0 1 0 1 1 0 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 . . . o3x . | 3 | 0 3 0 | * * * * * 960 * | 0 0 0 0 0 0 0 4 0 0 1 | 0 0 0 2 0 0 2 0 0 4 | 1 0 0 2 2 . . . . x3x | 6 | 0 3 3 | * * * * * * 960 | 0 0 0 0 0 0 0 0 0 4 1 | 0 0 0 0 0 2 0 0 2 4 | 0 0 1 2 2 ---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x3o . . . ♦ 6 | 12 0 0 | 4 4 0 0 0 0 0 | 960 * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 o3x . *b3o . . ♦ 6 | 12 0 0 | 4 0 4 0 0 0 0 | * 960 * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 o3x . . x . ♦ 6 | 6 3 0 | 2 0 0 3 0 0 0 | * * 1920 * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 o3x . . . x ♦ 6 | 6 0 3 | 2 0 0 0 3 0 0 | * * * 1920 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3o *b3o . . ♦ 6 | 12 0 0 | 0 4 4 0 0 0 0 | * * * * 960 * * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x3o . x . ♦ 6 | 6 3 0 | 0 2 0 3 0 0 0 | * * * * * 1920 * * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x3o . . x ♦ 6 | 6 0 3 | 0 2 0 0 3 0 0 | * * * * * * 1920 * * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . x . *b3o3x . ♦ 12 | 12 12 0 | 0 0 4 6 0 4 0 | * * * * * * * 960 * * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . x . *b3o . x ♦ 6 | 6 0 3 | 0 0 2 0 3 0 0 | * * * * * * * * 1920 * * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . x . . x3x ♦ 12 | 6 6 6 | 0 0 0 3 3 0 2 | * * * * * * * * * 1920 * | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 . . . o3x3x ♦ 12 | 0 12 6 | 0 0 0 0 0 4 4 | * * * * * * * * * * 240 | 0 0 0 0 0 0 0 0 0 4 | 0 0 0 2 2 ---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x3o *b3o . . ♦ 24 | 96 0 0 | 32 32 32 0 0 0 0 | 8 8 0 0 8 0 0 0 0 0 0 | 120 * * * * * * * * * | 1 1 0 0 0 o3x3o . x . ♦ 12 | 24 6 0 | 8 8 0 12 0 0 0 | 2 0 4 0 0 4 0 0 0 0 0 | * 480 * * * * * * * * | 1 0 1 0 0 o3x3o . . x ♦ 12 | 24 0 6 | 8 8 0 0 12 0 0 | 2 0 0 4 0 0 4 0 0 0 0 | * * 480 * * * * * * * | 0 1 1 0 0 o3x . *b3o3x . ♦ 30 | 60 30 0 | 20 0 20 30 0 10 0 | 0 5 10 0 0 0 0 5 0 0 0 | * * * 192 * * * * * * | 1 0 0 1 0 o3x . *b3o . x ♦ 12 | 24 0 6 | 8 0 8 0 12 0 0 | 0 2 0 4 0 0 0 0 4 0 0 | * * * * 480 * * * * * | 0 1 0 1 0 o3x . . x3x ♦ 18 | 18 9 9 | 6 0 0 9 9 0 3 | 0 0 3 3 0 0 0 0 0 3 0 | * * * * * 640 * * * * | 0 0 1 1 0 . x3o *b3o3x . ♦ 30 | 60 30 0 | 0 20 20 30 0 10 0 | 0 0 0 0 5 10 0 5 0 0 0 | * * * * * * 192 * * * | 1 0 0 0 1 . x3o *b3o . x ♦ 12 | 24 0 6 | 0 8 8 0 12 0 0 | 0 0 0 0 2 0 4 0 4 0 0 | * * * * * * * 480 * * | 0 1 0 0 1 . x3o . x3x ♦ 18 | 18 9 9 | 0 6 0 9 9 0 3 | 0 0 0 0 0 3 3 0 0 3 0 | * * * * * * * * 640 * | 0 0 1 0 1 . x . *b3o3x3x ♦ 60 | 60 60 30 | 0 0 20 30 30 20 20 | 0 0 0 0 0 0 0 5 10 10 5 | * * * * * * * * * 192 | 0 0 0 1 1 ---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+---------------- o3x3o *b3o3x . ♦ 240 | 960 240 0 | 320 320 320 480 0 80 0 | 80 80 160 0 80 160 0 80 0 0 0 | 10 40 0 16 0 0 16 0 0 0 | 12 * * * * o3x3o *b3o . x ♦ 48 | 192 0 24 | 64 64 64 0 96 0 0 | 16 16 0 32 16 0 32 0 32 0 0 | 2 0 8 0 8 0 0 8 0 0 | * 60 * * * o3x3o . x3x ♦ 36 | 72 18 18 | 24 24 0 36 36 0 6 | 6 0 12 12 0 12 12 0 0 12 0 | 0 3 3 0 0 4 0 0 4 0 | * * 160 * * o3x . *b3o3x3x ♦ 180 | 360 180 90 | 120 0 120 180 180 60 60 | 0 30 60 60 0 0 0 30 60 60 15 | 0 0 0 6 15 20 0 0 0 6 | * * * 32 * . x3o *b3o3x3x ♦ 180 | 360 180 90 | 0 120 120 180 180 60 60 | 0 0 0 0 30 60 60 30 60 60 15 | 0 0 0 0 0 0 6 15 20 6 | * * * * 32
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